Research profile

Satoru Aimi

Works on free boundary & capillary, weak & singular flows and boundaries & non-compact.

NP-RC-568865

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Their work in this field since 2016, with the older papers the site recommends. Titles open each paper's page, with its abstract, PDF and HTML versions; Connections shows the papers closest to it. The arXiv listing has the complete record.

2021

math.APWider flowsv3arXiv:2103.16386

Level set mean curvature flow with Neumann boundary conditions

Satoru Aimi

We investigate the relation between the level set approach and the varifold approach for the mean curvature flow with Neumann boundary conditions. With an appropriate initial data, we prove that the almost all level sets of the unique viscosity level set solution satisfy Brakke's inequality and a generalized Neumann boundary condition.

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NP-RC-568865 is Satoru Aimi's permanent number in the Ricci flow community on Neckpinch. It stays with them through any change of name or post. More about these numbers.

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